E. A. Alshina, E. M. Zaks, N. N. Kalitkin, “The optimal parameters for explicit Runge–Kutta schemes of lower orders”, Matem. Mod., 2006, Volume 18, Number 2,Pages <nobr>61

This article is cited in 11 papers

The optimal parameters for explicit Runge–Kutta schemes of lower orders

E. A. Alshina^a, E. M. Zaks^b, N. N. Kalitkin^a

^a Institute for Mathematical Modelling, Russian Academy of Sciences
^b Moscow State Institute of Electronic Technology (Technical University)

Abstract: The explicit Runge–Kutta schemes of the low orders are well known. General expressions for parametrical families of these schemes are constructed and the optimum values of parameters are found. The interpolation properties are also investigated.

Received: 21.03.2005